extirpate vs shoot down

extirpate

verb
  • To destroy completely; to annihilate, to cause to go extinct locally. 

  • To surgically remove. 

  • To pull up by the roots; uproot. 

shoot down

verb
  • To cause to fall by shooting. 

  • To criticize a (request) to the point of preclusion. 

How often have the words extirpate and shoot down occurred in a corpus of books? (source: Google Ngram Viewer )